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Finding the Fourth Proportional to 4,714.50, 7,072.20 and 1,251.75

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Solution

The fourth proportional to 4,714.50, 7,072.20 and 1,251.75 is: 1,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.50 : 7,072.20 = 1,251.75 : x
  2. Step 2: Convert to fraction form
    4,714.50/7,072.20 = 1,251.75/x
  3. Step 3: Cross multiply
    4,714.50x = 7,072.20 × 1,251.75
  4. Step 4: Simplify right side
    4,714.50x = 8,852,626.35
  5. Step 5: Solve for x
    x = 8,852,626.35/4,714.50
  6. Step 6: Final answer
    x = 1,877.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.